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Finding the Fourth Proportional to 34,012.48, 51,031.84 and 11,828.16

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Solution

The fourth proportional to 34,012.48, 51,031.84 and 11,828.16 is: 17,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.48 : 51,031.84 = 11,828.16 : x
  2. Step 2: Convert to fraction form
    34,012.48/51,031.84 = 11,828.16/x
  3. Step 3: Cross multiply
    34,012.48x = 51,031.84 × 11,828.16
  4. Step 4: Simplify right side
    34,012.48x = 603,612,768.61
  5. Step 5: Solve for x
    x = 603,612,768.61/34,012.48
  6. Step 6: Final answer
    x = 17,746.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.